Answer:
A) No solutions
Explanation:
First of all, we know that option B will always be incorrect. You cannot have two solutions. To illustrate this, try drawing two lines. You will find that they will either intersect once (one solution), or they will not intersect, (no solutions, parallel lines), or they are the same line and thus they will always intersect (infinitely many solutions).
With that in mind, let's solve the equation.
4x-4-5x=7-x+5
First, combine all like terms.
-x-4=12-x
Now add 4 to both sides to leave x by itself.
-x=16-x
This statement cannot be true. Therefore, this equation has no solutions (parallel lines. One line starts from 0, or the origin. That line is -x. The other line starts from 16. That line is -x+16.)
Hope this helps!